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arXiv · 1612.01300

Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases

Paolo Bravi·Jacopo Gandini
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Abstract

Given a classical semisimple complex algebraic group G and a symmetric pair (G,K) of Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. We show that all such orbit closures are normal and describe the K-module structure of their ring of regular functions.

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BibTeXRIS

Paolo Bravi, Jacopo Gandini. 2016-12-05. Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical Hermitian cases. https://doi.org/10.1215/21562261-2019-0039

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